using System;

public class Program

{

    public static void Main()

    {

        Console.WriteLine("A expreção 1 + (1/1!) + (1/2!) + (1/3!) + ... + (1/n!)");

        Console.WriteLine("Digite a quantidade de fatoração");

        var qtde = double.Parse(Console.ReadLine());

        double fatorial = 0;

        double resultado = 1;

        for (var item = 1; item <= qtde; item++)

        {

            fatorial = factorial_Recursion(item);

            resultado += (1 / fatorial);

​

            Console.WriteLine("############################################################################");

            Console.WriteLine("A fatoração de " + item + " é: " + fatorial);

            Console.WriteLine("");

            Console.WriteLine("############################################################################");

            Console.WriteLine("1 ÷ pela fatoração de " + 1 / fatorial);

            Console.WriteLine("");

        }

        Console.WriteLine("1 ÷ pela fatoração de " + resultado);

    }

    private static double factorial_Recursion(int number)

    {

        if (number == 1)

            return 1;

        else

            return number * factorial_Recursion(number - 1);

    }

​

}